6.37 is what percent of 17.59 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.59 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 17.59, so we can write it down as 100%=17.59.
4. We know, that x% equals 6.37 of the output value, so we can write it down as x%=6.37.
5. Now we have two simple equations:
1) 100%=17.59
2) x%=6.37
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=17.59/6.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.37 is what percent of 17.59

100%/x%=17.59/6.37
(100/x)*x=(17.59/6.37)*x       - we multiply both sides of the equation by x
100=2.7613814756672*x       - we divide both sides of the equation by (2.7613814756672) to get x
100/2.7613814756672=x
36.213757816941=x
x=36.213757816941

now we have:
6.37 is 36.213757816941% of 17.59